1. Consider the following function: f (x) = x² + 8x cos y – 2x + 10 cos y – 8 cos y + 8 cos° y, x = (x, y) E R?. Using the necessary and sufficient conditions, compute by hand all minima and maxima of...

help

Extracted text: 1. Consider the following function: f (x) = x² + 8x cos y – 2x + 10 cos y – 8 cos y + 8 cos° y, x = (x, y) E R?. Using the necessary and sufficient conditions, compute by hand all minima and maxima of f (x). Classify these minima and maxima. Hint: To classify the minima and maxima, use the identity x² + 8xz 2.x + 10z – 822 + 823 = 2z(2z – 3)² + (x + 4z – 1)2 –- 1. %3D |